755313104772 has 96 divisors (see below), whose sum is σ = 1978117464960. Its totient is φ = 249213974400.

The previous prime is 755313104737. The next prime is 755313104801. The reversal of 755313104772 is 277401313557.

755313104772 is a `hidden beast` number, since 7 + 5 + 531 + 3 + 1 + 0 + 47 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62093163 + ... + 62105325.

It is an arithmetic number, because the mean of its divisors is an integer number (20605390260).

Almost surely, 2^755313104772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755313104772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989058732480).

755313104772 is an abundant number, since it is smaller than the sum of its proper divisors (1222804360188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

755313104772 is a wasteful number, since it uses less digits than its factorization.

755313104772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17962 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 755313104772 in words is "seven hundred fifty-five billion, three hundred thirteen million, one hundred four thousand, seven hundred seventy-two".